

Unless I'm misunderstanding, I prefer my notes to have no hierarchy at all in relation to each other (is this what Sterling means by 'flat'?). Organization: Sterling describes the differences between relative and absolute hierarchy.This does have the downside of making them longer than necessary. Other than this, I organize my global macros contextually so that they can only appear in a specific context. Being generic is the price I pay to keep things consistent.


Not all mathematical objects might want to link to all of these, but they are nevertheless included in the document for consistency. justifications (function spaces are indeed sets, where I claimed that it is in the definition).equivalencies (function spaces are equivalenlty defined as a Cartesian product), and.sufficiencies (certain conditions that guarantee certain properties of functions, say 'criteria for equality of functions', or other set-theoretic stuff that guarantees the existence of a function.).properties (collection of all functions form a proper class),.generalizations (morphisms, relations, etc),.constructions (image, preimage, compositions, etc),.examples of functions (functions in a topological/metric space),.types of functions (injections, surjections, etc),.To illustrate, let's say you have a note called Function.md, which defines what a function is. Classify your links!! Mathematical objects tend to have certain 'types of links' to other things.
OBSIDIAN COLOR DEFINITION FULL
Now, even though MathJax does not have the full functionality of LaTeX, this is greatly remedied by the amazing Obsidian Extended MathJax plugin. Instant MathJax rendering!! I can't emphasize how nice this is, especially given the fact that it takes ~5 seconds to compile things in actual LaTeX.Heres some nice stuff you can do with Obsidian for note-taking in math. For more detail, you can check out my vault on GitHub, where the README.md contains much more information, my configurations, and some sample pages (and the graph, if you're interested). Instead of reiterating the benefits of using Obsidian (which can be found in almost every post lol), I'll just highlight how I personally use Obsidian for taking notes in math. Obsidian fixed those problems almost by design. I would have 1000 pdfs open for my various course notes when I need to reference them all.I would need to, for the completeness of my notes, redefine/reprove certain things in many different course notes. Branching and references are inevitable, and they can be annoying to navigate when, say, revising your notes. The (very) non-linear structure of mathematical definitions/theorems don't translate well into the linear structure of a pdf.I used to LaTeX my course notes into pdfs, which I think has several problems. I've been using Obsidian for my math course notes in university for over a year now, and it has truely revolutionized my note-taking process.
